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Finding the Fourth Proportional to 1,204.06, 1,797.36 and 1,058.26

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Solution

The fourth proportional to 1,204.06, 1,797.36 and 1,058.26 is: 1,579.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.06 : 1,797.36 = 1,058.26 : x
  2. Step 2: Convert to fraction form
    1,204.06/1,797.36 = 1,058.26/x
  3. Step 3: Cross multiply
    1,204.06x = 1,797.36 × 1,058.26
  4. Step 4: Simplify right side
    1,204.06x = 1,902,074.19
  5. Step 5: Solve for x
    x = 1,902,074.19/1,204.06
  6. Step 6: Final answer
    x = 1,579.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.